Research output: Contribution to journal › Article

**Most energetic passive states.** / Perarnau-Llobet, Marti; Hovhannisyan, Karen; Huber, Marcus; Skrzypczyk, Paul; Tura, Jordi; Acin, Antonio.

Research output: Contribution to journal › Article

Perarnau-Llobet, M, Hovhannisyan, K, Huber, M, Skrzypczyk, P, Tura, J & Acin, A 2015, 'Most energetic passive states', *Physical Review E: Statistical, Nonlinear, and Soft Matter Physics*, vol. 92, 042147. https://doi.org/10.1103/PhysRevE.92.042147

Perarnau-Llobet, M., Hovhannisyan, K., Huber, M., Skrzypczyk, P., Tura, J., & Acin, A. (2015). Most energetic passive states. *Physical Review E: Statistical, Nonlinear, and Soft Matter Physics*, *92*, [042147]. https://doi.org/10.1103/PhysRevE.92.042147

Perarnau-Llobet M, Hovhannisyan K, Huber M, Skrzypczyk P, Tura J, Acin A. Most energetic passive states. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 2015 Oct 22;92. 042147. https://doi.org/10.1103/PhysRevE.92.042147

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title = "Most energetic passive states",

abstract = "Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and similarly they minimize the energy for a given entropy. Here we find the passive states lying in the other extreme, i.e., those that maximize the energy for a given entropy, which we show also minimize the entropy when the energy is fixed. These extremal properties make these states useful to obtain fundamental bounds for the thermodynamics of finite dimensional quantum systems, which we show in several scenarios.",

author = "Marti Perarnau-Llobet and Karen Hovhannisyan and Marcus Huber and Paul Skrzypczyk and Jordi Tura and Antonio Acin",

year = "2015",

month = "10",

day = "22",

doi = "10.1103/PhysRevE.92.042147",

language = "English",

volume = "92",

journal = "Physical Review E: Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society (APS)",

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AU - Perarnau-Llobet, Marti

AU - Hovhannisyan, Karen

AU - Huber, Marcus

AU - Skrzypczyk, Paul

AU - Tura, Jordi

AU - Acin, Antonio

PY - 2015/10/22

Y1 - 2015/10/22

N2 - Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and similarly they minimize the energy for a given entropy. Here we find the passive states lying in the other extreme, i.e., those that maximize the energy for a given entropy, which we show also minimize the entropy when the energy is fixed. These extremal properties make these states useful to obtain fundamental bounds for the thermodynamics of finite dimensional quantum systems, which we show in several scenarios.

AB - Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and similarly they minimize the energy for a given entropy. Here we find the passive states lying in the other extreme, i.e., those that maximize the energy for a given entropy, which we show also minimize the entropy when the energy is fixed. These extremal properties make these states useful to obtain fundamental bounds for the thermodynamics of finite dimensional quantum systems, which we show in several scenarios.

U2 - 10.1103/PhysRevE.92.042147

DO - 10.1103/PhysRevE.92.042147

M3 - Article

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VL - 92

JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

M1 - 042147

ER -